4 A particle is projected from a point \(O\) with speed \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle \(\theta\) above the horizontal. After 0.3 s the particle is moving with speed \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle \(\tan ^ { - 1 } \left( \frac { 7 } { 24 } \right)\) above the horizontal.

1. Show that \(V \cos \theta = 24\).
2. Find the value of \(V \sin \theta\), and hence find \(V\) and \(\theta\).